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Colloquium – John Etnyre, Georgia Institute of Technology

346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Topic:  Curvature and contact topology Abstract:  Contact geometry is a beautiful subject that has important interactions with topology in dimension three. In this talk I will give a brief introduction to contact geometry and discuss its interactions with Riemannian geometry. In particular I will discuss a contact geometry analog of the famous sphere theorem and

Analysis Seminar – Arum Lee (University of Alabama)

227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: Definition of Weak Solution of Poisson Equation with Homogeneous Dirichlet Boundary Condition Abstract: In this talk, I will discuss the ideas of weak derivatives, traces of Sobolev functions and the weak solution of Poisson equation. These definitions are the very basic but important definitions in PDE. This talk will explain the motivation behind these

Math Ed Seminar

228 Gordon Palmer Hall Tuscaloosa, AL, United States

Applied Math Seminar – Kyle Mandli (Columbia University)

Title of talk:  Computational Challenges to Prediction and Mitigation of Coastal Hazards Abstract: Coastal flooding due to severe storms is one of the most widespread and damaging hazards faced around the world.  The threat of these events has grown not only due to increased population and economic reliance on coastal regions but also due to

Analysis Seminar – Yuanzhen Shao, Georgia Southern University

227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: Some Applications of Singular Manifold Theory to Applied Mathematics Abstract: Many applications of applied sciences lead to differential equations with various types of singularities, including singularities of the geometry of the underlying space and singularities of the coefficients of the differential equations. The aim of this talk is to introduce the concept of singular manifolds, which can describe various kinds of singularities in a unified way, and then my recent work on the partial differential equation theory over singular manifolds will be presented. I will illustrate by several examples from applied mathematics how to use this theory to treat different types of singularities via a unified approach.